125512116436080 has 600 divisors, whose sum is σ = 487009297243392. Its totient is φ = 29928362112000.

The previous prime is 125512116436051. The next prime is 125512116436099. The reversal of 125512116436080 is 80634611215521.

125512116436080 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 1 + 21 + 16 + 4 + 3 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46516785 + ... + 49140975.

Almost surely, 2^{125512116436080} is an apocalyptic number.

125512116436080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125512116436080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243504648621696).

125512116436080 is an abundant number, since it is smaller than the sum of its proper divisors (361497180807312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125512116436080 is a wasteful number, since it uses less digits than its factorization.

125512116436080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624299 (or 2624273 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 125512116436080 in words is "one hundred twenty-five trillion, five hundred twelve billion, one hundred sixteen million, four hundred thirty-six thousand, eighty".